# Marianne Leitner

### Research

Conformal Field Theories

• The (2,5) minimal model on degenerating genus two surfaces, (20 pages) [arXiv:1801.08387], submitted
• Rational CFTs on Riemann surfaces, (with W. Nahm), (90 pages) [arXiv:1705.07627]
• An algebraic approach to minimal models in CFTs, (30 pages) [arXiv:1705.08294]
• CFTs on Riemann Surfaces of genus $g\geq 1$, PhD thesis in Mathematics, Trinity College Dublin (2014) [pdf]
• Virasoro correlation functions on hyperelliptic Riemann surfaces, Lett. Math. Phys. 103.7 (2013), 701-728 [arXiv:1011.1632]

The relativistic Quantum Hall Effect

• Boundary states and edge currents for free fermions (with W. Nahm), Adv. Theor. Math. Phys. 14.3 (2010), 899-910 [arXiv:0808.1497]
• Zero Field Hall Effect in (2+1)-dimensional QED, Adv. Theor. Math. Phys. 12.3 (2008), 475-487 [arXiv:cond-mat/0505428]
• Looking beyond the Silicon Age (with W. Nahm), The Irish Scientist (2006), 76
• Spontaneous Edge Currents for the Dirac Equation in Two Space Dimensions (with M. J. Gruber), Lett. Math. Phys. 75.1 (2006), 25-37 [arXiv:math-ph/0409021]
• Geometry of the Quantum Hall Effect in QED in 2+1 dimensions, Oberwolfach reports 38 (2004), 2047-2051
• Zero Field Hall Effect für Teilchen mit Spin 1/2, PhD thesis in Physics, ISBN 978-3-8325-0578-3, University of Augsburg (2004).

### Professional Activities

Teaching

I enjoy teaching. I have been lecturing across a range of courses between both pure and applied mathematics, science, and theoretical physics. See here for my past teaching and advising.

Conference organisation and grants
Upcoming/ recent Seminar and Conference Talks
• IQF Meeting, DCU, May 2018
• Periods in Number Theory, Algebraic Geometry and Physics, HIM Bonn, Feb 2018 [Lecture Notes]
• Algebra and Number Theory Seminar, UCD, Sept & Nov 2017
• IQF Meeting talk, UCD, May 2017
• Research Day Talk, NUIG, April 2016